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Mathematics of the USSR-Sbornik, 1972, Volume 18, Issue 2, Pages 267–283
DOI: https://doi.org/10.1070/SM1972v018n02ABEH001769 (Mi sm3231) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Symmetric Banach algebras of operators in a space of type $\Pi_1$

V. S. Shulman
English version PDF (1097 kB) Citations (12)
References:
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DOI: https://doi.org/10.1070/SM1972v018n02ABEH001769
Abstract: We construct a complete system of models of complete $I$-symmetric algebras of operators in a space of type $\Pi_1$, which leave invariant at least one degenerate subspace in $\Pi_1$. The results obtained are applied in the proof of an analog of von Neumann's double commutator theorem, and also in the determination of necessary and sufficient conditions for the reflexivity of weakly closed $I$-symmetric algebras of operators in $\Pi_1$.
Bibliography: 14 titles.
Received: 09.07.1971
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1972, Volume 89(131), Number 2(10), Pages 264–279
Bibliographic databases:
UDC: 519.56
MSC: Primary 46L20; Secondary 46L05
Language: English
Original paper language: Russian
Citation: V. S. Shulman, “Symmetric Banach algebras of operators in a space of type $\Pi_1$”, Mat. Sb. (N.S.), 89(131):2(10) (1972), 264–279; Math. USSR-Sb., 18:2 (1972), 267–283
Citation in format AMSBIB
\Bibitem{Shu72}
\by V.~S.~Shulman
\paper Symmetric Banach algebras of operators in a~space of type $\Pi_1$
\jour Mat. Sb. (N.S.)
\yr 1972
\vol 89(131)
\issue 2(10)
\pages 264--279
\mathnet{http://mi.mathnet.ru/sm3231}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=336372}
\zmath{https://zbmath.org/?q=an:0252.46082}
\transl
\jour Math. USSR-Sb.
\yr 1972
\vol 18
\issue 2
\pages 267--283
\crossref{https://doi.org/10.1070/SM1972v018n02ABEH001769}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:266
    Russian version PDF:97
    English version PDF:5
    References:35
     
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